The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p , -2 ) and ( 5/3 , q ) respectively, find the values of p and q.

Answers

Answer 1

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.


Related Questions

What does W equal? I’m lost

Answers

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:


[tex] |15 - 4| [/tex]
PLEASEEEEE HELPPP ​

Answers

Answer:

11

Step-by-step explanation:

15-4=11

|11|=11

Remember that the lines mean absolute value, so whatever the answer is, it will be positive.

15-4=11 therefore, the absolute value pf this is 11.

Question 3 of 10
What is the measure of RST?

A. 72°
B. 162°
C. 324°
D. 81°

Answers

B I’m not sure but check

Answer:

D. 81

Step-by-step explanation:

This answer was confirmed by two people in the comments.

What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.

[tex]162-81=81[/tex] ☑

[tex]162-72=90[/tex] ☒

[tex]162-162=0[/tex] ☒

[tex]162-324=-162[/tex] ☒

So, therefore the answer is [tex]81[/tex].

I hope this helped you. :)

In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

Answers

The table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

where,

k = constant of proportionality

A. 'x' is 1 2 3. 'y' is -3,-6,-9

y = k × x

-3 = k × 1

- 3 = k

k = -3

B. 'x' is 1, 2, 3. 'y' is -1, -2, 0

y = k × x

-1 = k × 1

-1 = k

k = -1

C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

y = k × x

-3 = k × 1

-3 = k

k = -3

D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

-3 = k × 1

-3 = k

k = -3

or

y = k × x

-3/2 = k × 2

-3/ 2 = 2k

k = -3/2 ÷ 2

k = -3/2 × 1/2

k = -3

Therefore, the table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

Read more:

https://brainly.com/question/13441754

#2: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#). *
-3x + 5y = -32
7x – 4y = 67

Answers

Answer:

[tex](9,-1)[/tex]

Step-by-step explanation:

Follow the same guidelines from the other answer. Hope this helps!!

Solve for g in the proportion
g 15
4 6​

Answers

Answer:

g times 15 if it's a algebraic question

g=6

Refer to the explanation for the process.

Explanation:

Solve:

9 g=15 10

Cross multiply each denominator by the opposite numerator.

9×10=15×g

Simplify.

90=15g

Divide both sides by 15

90 15=g

Simplify.

6=g

Switch sides.

g=6

Hope this helps!

Two parallel lines are crossed by a traversal. What is the value of y?

Answers

Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

Of the 25 fish that Karl caught
from the lake, 7 were trout. The
estimated population of the lake is
6,500 fish. About how many trout
would
you expect to be in the lake?

Answers

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.


please help. its on ratio.​

Answers

Answer:

2/14, 1/7, 3/21, and 18/126

Step-by-step explanation:

Find the total surface area of the
following square pyramid:
9 cm
10 cm
SA = [?]cm2

Answers

Answer:

280 cm2

Step-by-step explanation:

1)find the area of square

A=LW

=10×10

=100

2) find the area of triangle

A=B×H÷2

=10×9/2

=45

Coz,there are 4 triangle we multiple by 4

=45×4

=180

3)find the total surface area by adding the two

=100+180

=280cm2

Answer:

SA = [280] cm 2

Step-by-step explanation:

For Lateral Area the formula is 4(1/2 10 x 9)

But the 1/2 makes it 4(1/2 5 x 9)

Then you multiply 5 x 9 = 45 then multiply 45 by the 4 and get 180

Then for Surface Area you put in (180 + 100) = 280

You get the 100 by multiplying 2 of the base numbers together.

1/5+x+2/3=1 PLEASE HELP

Answers

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5

the choices are
(x+3)
(x-3)
(x^2-9)
(x-8i)
(x^2+64)
(x-7-square root of 5)
(x^2-14x+44)
and (x^2-14x+54

Answers

Answer:

Options 2, 3, 4, 5, 7

Step-by-step explanation:

Given roots:

3, 8i and 7 - √5

Polynomial with same roots will have factors of:

(x - 3), (x - 8i) and (x - (7-√5))

So correct choices are:

(x - 3)(x^2-9), has a factor of (x - 3)(x - 8i)(x^2+64), has a factor of (x - 8i)(x^2-14x+44), has a factor of (x - 7 + √5)

PLEASE HELP ASAP 20 POINTS WILL GIVE BRAINLIEST

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10 m/s wind, how much power does it generate in a 12 m/s
wind?

Answers

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

What is Power?

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

To learn more on Power click:

https://brainly.com/question/2409175

#SPJ2

point slope line equation of the line through (8,-8) and (9,8)

Answers

Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

* Ms. Quintero has visited 16 of the 50 states. What percent of the states has she visited? KEY Part (is) Whole(of) % 100 Whole

A.25%
B.32%
C.16%
D.8%​

Answers

Answer:

B. 32%

Step-by-step explanation:

16/50 = 32% lol

goodluck!

The notebook shows the money Lisa earned and spent on her first day selling kale at the
Farmers' Market. A positive number represents money earned. A negative number represents
money spent. Lisa wants to find her profit for the first day.

Answers

Answer:

Step-by-step explanation:

7 + (-5)= 2

i’m trying one last time
Write an equation in standard form of the line that passes through the following
points, where a ≠0 and b ≠0.

Answers

Answer:

The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.

Step-by-step explanation:

Answer:

ax + by = c

Step-by-step explanation:

The standard form of the line is

ax + by = c; where a, b and c are numbers

Also a and b are coefficients are not zero so there are x and y terms.

No rush on this one:)

The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?

Answers

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

Given the exponential function [tex]f(x) = -2(0.8)^x[/tex], what is the value of f(x) when x =0?

Answers

Answer:  -2

Work Shown:

[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]

In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.

the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.

Answers

I hope this helps ;)

4v + 4(v + 10) = -2v - 20

Answers

V =-6 bc I distribute 4 into v+10 and go 4v+10 and add the same numbers and subtract both side and add both side to get v alone and divided 10v into -60 so the answer is v=-6

Which number best represents the slope of the graphed line?

Answers

Answer:

-1/3

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

5 2/5 as a decimal number

Answers

Answer:

27/5 = 5,4

Step-by-step explanation:

5 2/5 = 27/5 = 5,4

Can someone help me please​

Answers

1. 96%
2. 57.142858%
3. 83.333333333333%

Find the balance in the account.
$3,800 principal earning 2%, compounded annually, after 7 years

Answers

Answer:

A = $4360.515918 which rounded to the nearest penny is $4360.52

Step-by-step explanation:

Can anyone do it I'll give you brainiest

Answers

Answer:

64°

Step-by-step explanation:

? + 86 + 90 + 84 + 36 = 360

? = 360 - 86 - 90 - 84 - 36

? = 64

therefore, the missing angle = 64°

Find the hypotenuse
84 + 36 + x = 180
x = 60
80 + 60 + x = 180
x = 40
The value of ? Is 40

Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% interest compounded monthly. How much money does Bella have after 3 years?

Answers

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

1+1+2+3+4 is what
it says it needs to be 20 characters long

Answers

Answer:

11

Step-by-step explanation:

how do you know how to read yet not know this

Evaluate the expression shown below and write your answer as a fraction in simplest form.
3
4
+
1
6
4
3

+
6
1

plss help

Answers

Answer:

Step-by-step explanation:

the answer would be 11/12

Three computers just scanned for viruses at the same time. Computer A runs a virus scan every 10 days. Computer B runs a virus scan every 12 days, and Computer C runs a virus scan every 16 days. How long will it be until all the computers run a virus scan at the same time again?

Answers

Answer: 240 days.

Step-by-step explanation:

The number of days that it'll will be until all the computers run a virus scan at the same time again will be calculated by solving for the lowest common multiples of the numbers. This will be:

Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240

Here, we can see that the least common multiple is 240. Therefore, all the computers will scan at the same time in 240 days.

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